Approximation of Material Balance Pressure @model for slightly compressibility flow:

p(t)  = p_i + \frac{\Delta Q(t)}{V_\phi \cdot c_t}

where

initial drainage volume of the main pay (excluding the aquifer and gas cap)

initial porosity

total compressibility

pore compressibility 

initial water saturation

initial gas saturation

initial oil saturation:

fluid compressibility of water phaseoil phase and gas phase

The MatBal equation  can be re-written as following:

p = p_i + \frac{\delta Q}{c_\phi \, V_\phi} + \delta p_i
\delta p_i =  \frac{ B_{og} \, F_{Oi} + B_{go} \, F_{Gi} + B_w \, F_W -1}{c_\phi}
B_{og} = \frac{B_o - R_s \, B_g}{1- R_s \, R_v}
B_{go} = \frac{ B_g - R_v \, B_o}{1- R_s \, R_v}

where

Cumulative Voidage Replacement Balance (CVRB) 

See Also


Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Material Balance Analysis (MatBal) / Material Balance Pressure @model

[ Derivation of Slightly compressible Material Balance Pressure @model ]